Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters
In this paper, we present interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Using the level sets of fuzzy parameters, the corresponding nonfuzzy two-level linear fractional programming problem is introduced. In our interactive method, after det...
Uloženo v:
| Vydáno v: | Fuzzy sets and systems Ročník 115; číslo 1; s. 93 - 103 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.10.2000
|
| Témata: | |
| ISSN: | 0165-0114, 1872-6801 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Shrnutí: | In this paper, we present interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Using the level sets of fuzzy parameters, the corresponding nonfuzzy two-level linear fractional programming problem is introduced. In our interactive method, after determining fuzzy goals of decision makers at both levels, a satisfactory solution is derived efficiently by updating a minimal satisfactory level of the decision maker at the upper level with considerations of overall satisfactory balance between both levels. The satisfactory solution well-balanced between both levels is easily computed by combined use of the bisection method, the phase one of the simplex method and the variable transformation method by Charnes and Cooper. An illustrative numerical example for two-level linear fractional programming problems with fuzzy parameters is provided to demonstrate the feasibility of the proposed method. |
|---|---|
| ISSN: | 0165-0114 1872-6801 |
| DOI: | 10.1016/S0165-0114(99)00027-5 |